Question

In a moth population, 50 are brown, 15 are yellow, and 35 are black. What is the probability of a moth being black?(1 point) Responses 5% 5% 15% 15% 35% 35% 50%

Answer 1

To find the probability of a moth being black, you can use the formula for probability:

\[
P(\text{black}) = \frac{\text{Number of black moths}}{\text{Total number of moths}}
\]

In this case, you have:
- Number of black moths = 35
- Total number of moths = 50 (brown) + 15 (yellow) + 35 (black) = 100

Now, substituting the values into the formula:

\[
P(\text{black}) = \frac{35}{100} = 0.35
\]

To express this as a percentage, you multiply by 100:

\[
0.35 \times 100 = 35\%
\]

So, the probability of a moth being black is **35%**.